508264968960 has 2880 divisors, whose sum is σ = 2393304883200. Its totient is φ = 100329062400.

The previous prime is 508264968877. The next prime is 508264968983. The reversal of 508264968960 is 69869462805.

508264968960 is a `hidden beast` number, since 5 + 0 + 8 + 2 + 6 + 496 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12396706540 + ... + 12396706580.

It is an arithmetic number, because the mean of its divisors is an integer number (831008640).

Almost surely, 2^508264968960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508264968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196652441600).

508264968960 is an abundant number, since it is smaller than the sum of its proper divisors (1885039914240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

508264968960 is a wasteful number, since it uses less digits than its factorization.

508264968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 508264968960 in words is "five hundred eight billion, two hundred sixty-four million, nine hundred sixty-eight thousand, nine hundred sixty".